422633323336224 has 576 divisors, whose sum is σ = 1511643329602560. Its totient is φ = 100601634355200.

The previous prime is 422633323336177. The next prime is 422633323336241.

422633323336224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145492579 + ... + 148368989.

It is an arithmetic number, because the mean of its divisors is an integer number (2624380780560).

Almost surely, 2^{422633323336224} is an apocalyptic number.

422633323336224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422633323336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755821664801280).

422633323336224 is an abundant number, since it is smaller than the sum of its proper divisors (1089010006266336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422633323336224 is a wasteful number, since it uses less digits than its factorization.

422633323336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876605 (or 2876586 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 48.

The spelling of 422633323336224 in words is "four hundred twenty-two trillion, six hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-six thousand, two hundred twenty-four".